925167393920 has 768 divisors, whose sum is σ = 2880246297600. Its totient is φ = 277948661760.

The previous prime is 925167393863. The next prime is 925167393937. The reversal of 925167393920 is 29393761529.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3870993161 + ... + 3870993399.

It is an arithmetic number, because the mean of its divisors is an integer number (3750320700).

Almost surely, 2^925167393920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925167393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440123148800).

925167393920 is an abundant number, since it is smaller than the sum of its proper divisors (1955078903680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

925167393920 is a wasteful number, since it uses less digits than its factorization.

925167393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 56.

The spelling of 925167393920 in words is "nine hundred twenty-five billion, one hundred sixty-seven million, three hundred ninety-three thousand, nine hundred twenty".